Online Implementation of Inequality Constraints Monitoring in Dynamical Systems

Nadia Zanzouri,Ramzi Ben Messaoud,Mekki Ksouri

doi:10.1155/2011/685261

Abstract

This paper deals with fault detection in dynamical systems where the state variables evolutions are constrained by inequality constraints. The latter corresponds either to physical limitations or to safety specification. Two classical residual generation approaches are studied, namely, parity space and unknown input observer approaches, and are extended to monitor the inequality constraints. A practical implementation on a real process is performed and permits to validate the relevance of the proposed methods.

Highlights

Fault diagnosis is playing a crucial role in modern industrial processes to enhance the dependability of such systems
This paper deals with fault detection in dynamical systems where the state variables evolutions are constrained by inequality constraints
A set of inequalities that constrain the evolution of the state variables in normal situation may be added to the state equations

Summary

Introduction

Fault diagnosis is playing a crucial role in modern industrial processes to enhance the dependability of such systems. This has led to the development of a wide variety of modelbased approaches such as parity space, observer-based, or parameter identification methods [1, 2]. Dynamical systems are usually modelled by state and measurement equations that represent a set of equality constraints. The state evolution is constrained by physical laws to stay in a given subspace. A set of inequalities that constrain the evolution of the state variables in normal (no-fault) situation may be added to the state equations

Methods

Results

Conclusion